2 papers
math.DS2025
Capturing the critical coupling of large random Kuramoto networks with graphons
Jason Bramburger, Matt Holzer
Collective oscillations and patterns of synchrony have long fascinated researchers in the applied sciences, particularly due to their far-reaching importance in chemistry, physics,…
math.DS2024
Persistence of steady-states for dynamical systems on large networks
Jason J. Bramburger, Matt Holzer, Jackson Williams
The goal of this work is to identify steady-state solutions to dynamical systems defined on large, random families of networks. We do so by passing to a continuum limit where the a…